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Finding the Fourth Proportional to 748.42, 1,120.40 and 455.04

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Solution

The fourth proportional to 748.42, 1,120.40 and 455.04 is: 681.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.42 : 1,120.40 = 455.04 : x
  2. Step 2: Convert to fraction form
    748.42/1,120.40 = 455.04/x
  3. Step 3: Cross multiply
    748.42x = 1,120.40 × 455.04
  4. Step 4: Simplify right side
    748.42x = 509,826.82
  5. Step 5: Solve for x
    x = 509,826.82/748.42
  6. Step 6: Final answer
    x = 681.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.